how do u find the lest common multiple

4a^2c & 14abc^5

and
what decimal part of 40 is 102?

if somone could..... can u explain how to do these thanks

The least common multiple
4a^2c & 14abc^5 :

First look at the factors of each term, and to what power they appear.
4a^2c: 2,2,a(twice) and c
14abc^5: 2,7,a,b,c(five times)
Now form a term that contains all of the factors of both, for the maximum number of times that they appear: You getsounds cool
2*2*7*a^2*b*c^5 = 28 a^2 b c^5

To express 40/102 as a decimal, divide 102 into 40 (or 51 into 20), using long division. If I use my hand calculator, I get
0.392156863...
(That is not really an algebra question)

so the ssecond proble would be 40 divided by102?

Yes

how do you do weighted averages?
ex. a pineapple drink contains 15% juice. how much pure pineapple juice should be added to 8 quarts of the drink to obtain a mixture containing 50% juice.

a cup of pie = pieman so... that answer is BOGGER

yes i know i am soo smart

thank you

To solve a weighted averages problem, you need to consider the proportions of the different components.

In this case, you have a pineapple drink containing 15% juice and you want to add pure pineapple juice to obtain a mixture containing 50% juice.

Let's assume x quarts of pure pineapple juice need to be added.

The total quantity of the mixture after adding the pure pineapple juice will be 8 + x quarts.

Now, set up an equation based on the proportion of juice in the mixture:

(15% of 8) + (100% of x) = 50% of (8 + x)

This can be written as:

0.15 * 8 + 1 * x = 0.50 * (8 + x)

Simplifying the equation:

1.2 + x = 4 + 0.5x

0.5x - x = 4 - 1.2

-0.5x = 2.8

x = 2.8 / -0.5

x = -5.6

Since the quantity of juice cannot be negative, there is no solution. Therefore, it is not possible to add pure pineapple juice to obtain a mixture containing 50% juice with the given conditions.

Just a note: Be careful when stating unrelated facts or using irrelevant expressions as they may confuse the reader and detract from the clarity of your explanation.